Research

23. Optimal rational approximation of operator functions : Fractional diffusion problems (in preparation)

22. Application of the complete radiation boundary condition and the rational absorbing boundary condition in R^2 and R^3

• • J. Comput. Math. 43 (5) (2025) 1318–1348

  • J. Lee and S. Kim

  • preprint

21. Analysis of complete radiation boundary conditions for Maxwell's equations

• • SIAM J. Numer. Anal. 63 (3) (2025) 1183-1208

  • S. Kim

  • preprint

20. Complete radiation boundary conditions for the Helmholtz equation II: domains with corners

• • Numer. Math. 153 (4) (2023) 775-825

  • T. Hagstrom and S. Kim

  • preprint

19. Hybrid absorbing boundary conditions of PML and CRBC

• • J. Comput. Appl. Math. 399 (2022) 113713

  • S. Kim

  • preprint

18. Convergence analysis of the continuous and discrete non-overlapping double sweep domain decomposition method based on PMLs for the Helmholtz equation

• • J. Sci. Comput. 89 (2) (2021) 37

  • S. Kim and H. Zhang

  • preprint

17. Dirichlet-to-Neumann boundary conditions for multiple scattering in waveguides

• • Comput. Math. Appl. 79 (6) (2020), 1661-1686

  • Y. Min and S. Kim

  • preprint

16. Application of a complete radiation boundary condition for the Helmholtz equation in locally perturbed waveguides

• • J. Comput. Appl. Math. 367 (2020) 112458

  • S. Kim

  • preprint

15. Fractional order Sobolev spaces for the Neumann Laplacian and the vector Laplacian

• • J. Korean. Math. Soc. 57(3) (2020) 721-745

  • S. Kim

  • preprint

14. Error analysis of PML-FEM approximations for the Helmholtz equation in waveguides

• • ESAIM Math. Model. Numer. Anal. 53 (4) (2019), 1191-1222

  • S. Kim

  • preprint

13. Complete radiation boundary conditions for the Helmholtz equation I: waveguides

• • Numer. Math. 141(4) (2019), 917-966

  • T. Hagstrom and S. Kim

  • preprint

12. Analysis of the non-reflecting boundary condition for the time-harmonic electromagnetic wave propagation in waveguides

• • J. Math. Anal. Appl. 453(1) (2017), 82-103

  • S. Kim

  • preprint

11. Optimized double sweep Schwarz method by complete radiation boundary conditions

• • Comput. Math. Appl. 72(6) (2016), 1573-1589

  • S. Kim and H. Zhang

  • preprint

10. Convergence of the supercell method for computation of defect modes in one-dimensional photonic crystals

• • Appl. Math. Lett. 49 (2015), 159-165

  • S. Kim and T. Kwon

  • preprint

9. Optimized Schwarz method with complete radiation transmission conditions for the Helmholtz equation in waveguides

• • SIAM J. Numer. Anal. 53(3) (2015), 1537-1558

  • S. Kim and H. Zhang

  • preprint

8. Cartesian PML approximation to resonances in open systems in R^2

• • Appl. Numer. Math. 81 (2014), 50-75

  • S. Kim

  • preprint

7. Suppression of the resonant scattering in imperfect acoustic cloaking with a lossy medium in R^3

• • Chin. Phys. Lett. 31(5) (2014), 054301

  • M. Li and S. Kim

  • preprint

6. Analysis of an approximate cloaking for acoustic scattering problems in R^3

• • Appl. Math. Comput. 232(1) (2014), 117-131

  • S. Kim

  • preprint

5. Analysis of the convected Helmholtz equation with a uniform mean flow in a waveguide with complete radiation boundary conditions

• • J. Math. Anal. Appl. 410(1) (2014), 275-291

  • S. Kim

  • preprint

4. Analysis of Imperfect Acoustic Cloaking Resonances

• • Chin. Phys. Lett. 29(12) (2012), 124301

  • S. Kim

  • preprint

3. Analysis of a Cartesian PML approximation to acoustic scattering problems in R^2

• • J. Math. Anal. Appl. 370(1) (2010), 168-186

  • S. Kim and J. E. Pasciak

  • preprint

2. Analysis of the spectrum of a Cartesian perfectly matched layer (PML) approximation to acoustic scattering problems

• • J. Math. Anal. Appl. 361(2) (2010), 420-430

  • S. Kim and J. E. Pasciak

  • preprint

1. The computation of resonances in open systems using a perfectly matched layer

• • Math. Comp. 78 (2009), 1375-1398

  • S. Kim and J. E. Pasciak

  • preprint